Solve x-2/4-3x-3/8=x/2

$$\frac { x - 2 } { 4 } - \frac { 3 x - 3 } { 8 } = \frac { x } { 2 }$$

Solve for x

$$x=-\frac{1}{5}=-0.2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 4,8,2.

$$2\left(x-2\right)-\left(3x-3\right)=4x$$

Use the distributive property to multiply 2 by x-2.

$$2x-4-\left(3x-3\right)=4x$$

To find the opposite of 3x-3, find the opposite of each term.

$$2x-4-3x-\left(-3\right)=4x$$

The opposite of -3 is 3.

$$2x-4-3x+3=4x$$

Combine 2x and -3x to get -x.

$$-x-4+3=4x$$

Add -4 and 3 to get -1.

$$-x-1=4x$$

Subtract 4x from both sides.

$$-x-1-4x=0$$

Combine -x and -4x to get -5x.

$$-5x-1=0$$

Add 1 to both sides. Anything plus zero gives itself.

$$-5x=1$$

Divide both sides by -5.

$$x=\frac{1}{-5}$$

Fraction \frac{1}{-5} can be rewritten as -\frac{1}{5} by extracting the negative sign.

$$x=-\frac{1}{5}$$